The work function for a metal is 1.85 eV. (a) We have to find the stopping potential for light having a wavelength of 410 nm; (b) the maximum speed of the emitted photoelectrons at the metal’s surface.

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Energy of a photon of wavelength 410 nm is

The work function of the metal is 1.85 eV.

Therefore, the stopping potential for the incident light will be

The maximum energy with which photoelectrons will be emitted from the metal’s surface will therefore be 1.18 eV.

Therefore, the maximum speed of photoelectrons near the metal’s surface will be